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Finding the Third Proportional to 426,600 and 918,234

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Solution

The third proportional to 426,600 and 918,234 is: 1,976,450.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,600 : 918,234 = 918,234 : x
  2. Step 2: Convert to fraction form
    426,600/918,234 = 918,234/x
  3. Step 3: Cross multiply
    426,600x = 918,234 × 918,234
  4. Step 4: Simplify right side
    426,600x = 843,153,678,756
  5. Step 5: Solve for x
    x = 843,153,678,756/426,600
  6. Step 6: Final answer
    x = 1,976,450.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.